Ivana Tomić

collaborators

2 papers

math.PR2025

Convergence of complex martingales in supercritical multi-type general branching processes in $L^{q}$ for $1 < q \leq 2$

Konrad Kolesko, Matthias Meiners, Ivana Tomic

Nerman's martingale plays a central role in the law of large numbers for both, single- and multi-type, supercritical general branching processes. There are further, complex-valued…

math.PR2025

Asymptotic expansions of solutions to Markov renewal equations and their application to general branching processes

Konrad Kolesko, Matthias Meiners, Ivana Tomic

We consider the Markov renewal equation $F (t) = f (t) + μ * F (t)$ for vector-valued functions $f, F : R \to R^{p}$ and a $p \times p$ matrix $μ$ …

Convergence of complex martingales in supercritical multi-type general branching processes in Lq for 1<q≤2

Asymptotic expansions of solutions to Markov renewal equations and their application to general branching processes

Convergence of complex martingales in supercritical multi-type general branching processes in $L^{q}$ for $1 < q \leq 2$